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Finding the Third Proportional to 30,802 and 45,999

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Solution

The third proportional to 30,802 and 45,999 is: 68,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802 : 45,999 = 45,999 : x
  2. Step 2: Convert to fraction form
    30,802/45,999 = 45,999/x
  3. Step 3: Cross multiply
    30,802x = 45,999 × 45,999
  4. Step 4: Simplify right side
    30,802x = 2,115,908,001
  5. Step 5: Solve for x
    x = 2,115,908,001/30,802
  6. Step 6: Final answer
    x = 68,693.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.